On 01/08/2012 07:06 PM, John B wrote:
You might find section 11.1 in "Geometric Algebra for Physicists" by
Doran and Lasenby relevant.  Also go 
tohttp://www.montgomerycollege.edu/Departments/planet/planet/Numerical_...
and download bookGA.pdf.  and look at chapter 6.
Hello Alan:
Thanks, but perhaps my example did not help to explain my real
question.  Here is a more simple statement of my question.  Is there a
way to use sympy to differentiate, for example, the function:

f = 5*x[0]**2 + 5*x[1]**2 + ...5*x[n]**2, where x is in vector or
matrix form to obtain the symbolic answer df/dx =

Sum(10*x[i], (i,0,n))

That is, is there some way to write in sympy (Sum(5*x[i]**2, (i,
0,n))).diff()?
John

Is x[j] a vector or matrix or is x = (x[0],...,x[n]) the vector for the vector case, then how would you write the matrix case?

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